Respuesta :
Answer: The co-ordinates of the midpoint M of the given line segment is (-0.5, 3).
Step-by-step explanation: Given that a segment has endpoints A(-3, 5) and B(2, 1).
We are to find the midpoint M of the segment AB.
We know that
the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) is given by
[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]
Therefore, the co-ordinates of the midpoint M of the given line segment AB is
[tex]M\\\\\\=\left(\dfrac{-3+2}{2},\dfrac{5+1}{2}\right)\\\\\\=\left(-\dfrac{1}{2},\dfrac{6}{2}\right)\\\\=(-0.5,3).[/tex]
Thus, the co-ordinates of the midpoint M of the given line segment is (-0.5, 3).